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Simplifying 4x + 100 = 7x + 25 Reorder the terms: 100 + 4x = 7x + 25 Reorder the terms: 100 + 4x = 25 + 7x Solving 100 + 4x = 25 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 100 + 4x + -7x = 25 + 7x + -7x Combine like terms: 4x + -7x = -3x 100 + -3x = 25 + 7x + -7x Combine like terms: 7x + -7x = 0 100 + -3x = 25 + 0 100 + -3x = 25 Add '-100' to each side of the equation. 100 + -100 + -3x = 25 + -100 Combine like terms: 100 + -100 = 0 0 + -3x = 25 + -100 -3x = 25 + -100 Combine like terms: 25 + -100 = -75 -3x = -75 Divide each side by '-3'. x = 25 Simplifying x = 25
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